Pith Number

pith:WHS65QCK

pith:2012:WHS65QCKRLYMYMI5XYXECT3GB6

not attested not anchored not stored refs pending

Hyperbolic polynomials, interlacers, and sums of squares

Cynthia Vinzant, Daniel Plaumann, Mario Kummer

arxiv:1212.6696 v2 · 2012-12-30 · math.AG · math.CO · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHS65QCKRLYMYMI5XYXECT3GB6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:09:07.368144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e5eec04a8af0cc311dbe2e414f660fab613e9005c39cd2dc2cdfae4c45202b

Aliases

arxiv: 1212.6696 · arxiv_version: 1212.6696v2 · doi: 10.48550/arxiv.1212.6696 · pith_short_12: WHS65QCKRLYM · pith_short_16: WHS65QCKRLYMYMI5 · pith_short_8: WHS65QCK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WHS65QCKRLYMYMI5XYXECT3GB6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b1e5eec04a8af0cc311dbe2e414f660fab613e9005c39cd2dc2cdfae4c45202b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e52990120bf6d94bb363e2b0655e7974c8242a11f6444716aa6c5719e8ae7cf7",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-30T08:57:04Z",
    "title_canon_sha256": "385277c9346e37cb8ad2fc3bf1b401844625ff45f49719584f0c68bc3b5f5669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6696",
    "kind": "arxiv",
    "version": 2
  }
}